9939542400 has 480 divisors, whose sum is σ = 37892902080. Its totient is φ = 2562969600.

The previous prime is 9939542377. The next prime is 9939542401. The reversal of 9939542400 is 42459399.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9939542401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8034582 + ... + 8035818.

It is an arithmetic number, because the mean of its divisors is an integer number (78943546).

Almost surely, 2^9939542400 is an apocalyptic number.

9939542400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9939542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18946451040).

9939542400 is an abundant number, since it is smaller than the sum of its proper divisors (27953359680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9939542400 is a wasteful number, since it uses less digits than its factorization.

9939542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 9939542400 is about 99697.2537234602. The cubic root of 9939542400 is about 2150.0841791450.

The spelling of 9939542400 in words is "nine billion, nine hundred thirty-nine million, five hundred forty-two thousand, four hundred".